Question

How can you expand binomials using Pascal's Triangle?

a) By multiplying each term by the exponent
b) By summing the coefficients of the binomial expansion
c) By using the rows of Pascal's Triangle as coefficients
d) By squaring the terms of the binomial

Answer 1

To expand binomials using Pascal's Triangle, you can use the rows of Pascal's Triangle as coefficients. Option number C is correct.

Step-by-step explanation:

To expand binomials using Pascal's Triangle, you can use the rows of Pascal's Triangle as coefficients. Each term in the binomial expansion corresponds to a specific entry in the triangle.

Here's how:

1. Write down the binomial in the form (a + b)^n, where a and b are the terms and n is the exponent.
2. Look for the row in Pascal's Triangle that corresponds to the exponent n. The row number will be n+1.
3. The terms in the binomial expansion are obtained by multiplying the corresponding entry in the Pascal's Triangle row with the corresponding power of a and b.
4. Write down all the expanded terms and combine like terms if necessary.